Answer:
<h2>
f₀ = 158.12 Hertz</h2>
Explanation:
The fundamental frequency of the string f₀ is expressed as f₀ = V/4L where V is the speed experienced by the string.
where T is the tension in the string and
is the density of the string
Given T = 600N and
= 0.015 g/cm = 0.0015kg/m
![V = \sqrt{\frac{600}{0.0015} }\\ \\V = \sqrt{400,000}\\ \\V = 632.46m/s](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B%5Cfrac%7B600%7D%7B0.0015%7D%20%7D%5C%5C%20%5C%5CV%20%3D%20%20%5Csqrt%7B400%2C000%7D%5C%5C%20%5C%5CV%20%3D%20632.46m%2Fs)
The next is to get the length L of the string. Since the string is stretched and fixed at both ends, 200 cm apart, then the length of the string in metres is 2m.
L = 2m
Substituting the derived values into the formula f₀ = V/2L
f₀ = 632.46/2(2)
f₀ = 632.46/4
f₀ = 158.12 Hertz
Hence the fundamental frequency of the string is 158.12 Hertz
F = mass × acceleration
17 = mass × 5
mass = 17/5
Answer:
(a) Force must be grater than 283.87 N
(B) Force will be equal to 193.945 N
Explanation:
We have given mass of the crate m = 49.6 kg
Acceleration due to gravity ![g=9.8m/sec^2](https://tex.z-dn.net/?f=g%3D9.8m%2Fsec%5E2)
Coefficient of static friction ![\mu _s=0.584](https://tex.z-dn.net/?f=%5Cmu%20_s%3D0.584)
Coefficient of kinetic friction ![\mu _k=0.399](https://tex.z-dn.net/?f=%5Cmu%20_k%3D0.399)
(a) Static friction force is given by ![F_S=\mu _smg=0.584\times 49.6\times 9.8=283.8707N](https://tex.z-dn.net/?f=F_S%3D%5Cmu%20_smg%3D0.584%5Ctimes%2049.6%5Ctimes%209.8%3D283.8707N)
So to just start the crate moving we have to apply more force than 283.87 N
(B) This force will be equal to kinetic friction force
We know that kinetic friction force is given by ![F_k=\mu _kmg=0.399\times 49.6\times 9.8=193.945N](https://tex.z-dn.net/?f=F_k%3D%5Cmu%20_kmg%3D0.399%5Ctimes%2049.6%5Ctimes%209.8%3D193.945N)
Answer:
Check the explanation
Explanation:
Kindly check the attached image below to see the step by step explanation to the question above.